Ask question

Ask question

All categories

3 years ago

6

Line segments AB and CD intersect at point E. Ray EF extends from point E.

1 answer:

Tom [10]3 years ago

7 0

Answer:

x=29 CEF=103 BEF=58

Step-by-step explanation:

161=3x+16+2x

5x=145

x=29

You might be interested in

Please solve this for me using substitution

Vinvika [58]

<h2> <u>Explanation</u><u>:</u></h2>

$\bf \underline{★Given-} \\$

$\textsf{4x + 5y = 8};$

$\textsf{5x + 4y = 12}$

$\bf \underline{★To\: find-} \\$

$\textsf{the value of x and y in equation?}$

$\bf \underline{★Solution-} \\$

$\sf \leadsto 4x + 5y = 8 - - - (i)$

$\sf \leadsto 5x + 4y = 12 - - - (ii)$

By first equation,

$\sf \leadsto 4x + 5y = 8$

$\sf \leadsto 4x = 8 - 5y$

$\sf \leadsto x = \dfrac{8 - 5y}{4}$

$\textsf{Now, we can find the original value of Y.}\\$

$\sf \leadsto 5x + 4y = 12$

$\sf \leadsto 5 \bigg( \dfrac{8 - 5y}{4} \bigg) + 4y = 12$

$\sf \leadsto \dfrac{40 - 25y}{4} + 4y = 12$

$\sf \leadsto \dfrac{40 - 25y + 16y}{4} = 12$

$\sf \leadsto \dfrac{40 - 9y}{4} = 12$

$\sf \leadsto 40 - 9y = 12(4)$

$\sf \leadsto 40 - 9y = 48$

$\sf \leadsto -9y = 48 - 40$

$\sf \leadsto -9y = 8$

$\sf \leadsto y = \dfrac{ -8}{9}$

$\textsf{Now, we can find the original value of X.}\\$

$\sf \leadsto 4x + 5y = 8$

$\sf \leadsto 4x + 5 \bigg( \dfrac{ -8}{9} \bigg) = 8$

$\sf \leadsto 4x - \dfrac{40}{9} = 8$

$\sf \leadsto \dfrac{36x - 40}{9} = 8$

$\sf \leadsto 36x - 40 = 8(9)$

$\sf \leadsto 36x - 40 = 72$

$\sf \leadsto 36x = 72 + 40$

$\sf \leadsto 36x = 112$

$\sf \leadsto x = \dfrac{112}{36}$

$\underline{\textsf{Answer-}}\\$

Therefore, the values of x and y are -8/9 and 112/36 respectively.

6 0

2 years ago

What is the correct description of the polygon

uysha [10]

A closed shape with straight sides

3 0

2 years ago

Read 2 more answers

A box of cereal has 20 cups. If each serving of cereal is 1/2 of a cup, how many servings are in the box?

Tpy6a [65]

The cereal will have 40 servings

7 0

2 years ago

Read 2 more answers

3/5t−4−7/10t=−2 what the value of t

Marysya12 [62]

Hello there.

<span>3/5t−4−7/10t=−2

t=-20</span>

8 0

3 years ago

Jake ate 55% of a cake. What fraction of the cake did he eat?

7nadin3 [17]

Answer:

11/20

Step-by-step explanation:

To be able to find the fraction of the cake that Jake ate if you know that he ate 55% of it, you have to turn the 55% into a fraction. To do this, first you have to divide the percent by 100:

55/100

Then, you have to simplify the fraction. In this case, you can do it by dividing by 5:

11/20

According to this, the fraction of the cake that Jake ate is 11/20.

8 0

3 years ago